Computing Connecting Orbits via an Improved Algorithm for Continuing Invariant Subspaces

  • Authors:
  • J. W. Demmel;L. Dieci;M. J. Friedman

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 2000

Quantified Score

Hi-index 0.00

Visualization

Abstract

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [Numer. Algorithms, 14 (1997), pp. 103--124]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a new algorithm for the continuation of invariant subspaces. The latter algorithm is of independent interest and can be used in contexts different than the present one.